The pairing symmetry can be studied by using the renormalized
mean-field theory (RMFT) [1]}, [2]}, which had successfully predicted the \(d\) -wave superconductivity in the \(t\) -\(J\)  model for cuprates and can well
describe the Fermi liquid similar to the slave-boson mean field theory. Our
numerical calculations of superconductivity on the generalized \(t\) -\(J\) -\(K\) 
model have yielded a typical superconducting phase diagram in Fig. REF . The pairing symmetry is found to depend on the hole concentration \(p\)  and the effective strength of the Kondo hybridization controlled by the
conduction electron hopping (\(t_{c}/K\) ) [3]}. For
simplicity, we have taken the Kondo coupling \(K\)  as the energy unit (\(K=1\) ),
and set the AF Heisenberg spin exchange \(J=0.1\) . Both the nearest-neighbor
hopping \(t=0.2\)  and the next-nearest-neighbor hopping \(t^{\prime }=-0.05\)  are taken into consideration
for Ni 3\(d\)  electrons. The density of conduction electrons is taken to be \(n_{c}=0.1\) , while their nearest-neighbor hopping \(t_{c}\)  is chosen as a
tuning parameter.
